Question

value of tan56-tan11-tan56(tan11)

Answer 1

. We have 56° – 11° = 45°
tan(56 11 )= tan 45
tan 56 tan11 / 1 tan 56 tan 11 =1

tan 56 - tan11= 1+ tan 56 tan11
tan 56- tan11- tan 56 tan11 =1

Answer 2

Answer:

Value of the given Expression is 1.

Step-by-step explanation:

Given:

tan 56 - tan 11 - ( tan 56 )( tan 11 )

To find: Value of given expression.

We use the following formula,

$tan(x-y)=\frac{tan\,x-tan\,y}{1+tan\,x\:tan\,y}$

Consider,

tan( 56 - 11 ) = tan 45

$\frac{tan\,56-tan\,11}{1+tan\,56\:tan\,11}=1$

$tan\,56-tan\,11=1+tan\,56\:tan\,11$

$tan\,56-tan\,11-tan\,56\:tan\,11=1$

Therefore, Value of the given Expression is 1.